Lifebuoy systems are efficient means of life saving equipment in the marine industry. Most marine-companies uses lifebuoy with mooring-line connections subjected to unpredictability of waves and non-linearities from mooring lines along with risk associated from fluctuating water waves. The suitability of the equipment due to heave motion can be assessed by the computation using Matlab software. There is a rapid fall in force on the bottom and top from a time frame of 5 to 10s and a maximum force of 5.8N and 7.6N was recorded respectively. A heave response of -0.15m to 0 was observed. During this analysis the lifebuoy will experience little heave response. A Matlab program was used in analysing this process
Nwaorgu G.O
Department of Marine Engineering, Nigeria Maritime University, Okerenkoko, Delta State; Nigeria
Ugodo G
Department of Marine Engineering, Nigeria Maritime University, Okerenkoko, Delta State; Nigeria
**[1] Castiglione, T., Stern, F., Bova, S., and Kandasamy, M. (2011). Numerical investigation of the seakeeping behavior of a catamaran advancing in regular head waves. Ocean Engineering, 38(16):1806– 1822. [2] Che, X., Zhang, J., & Ma, W., “On dynamic coupling effects between a spar and its mooring lines,” Ocean Engineering, 28, 7:863-887, 2001. [3] Det Norske Veritas (2011) Rules for classification of ships part 3 chapter 3 section 9. DNV [4] Hirdaris, S., Bai, W., Dessi, D., Ergin, A., Gu, X., Hermundstad, O.A., et al., 2014, Loads for use in the design of ships and offshore structures, Ocean Engineering, Vol. 78, pp. 131-174. [5] Lars, Bergdahl (2009) Wave induces loads and ship motions. Chalmers University of Technology. Sweden. [6] Kukner, A. and Sarioz, K. (1995). High speed hull form optimisation for seakeeping. Advances in Engineering Software, 22(3):179–189 [7] Papanikolaou, A., Kaklis, P., Koskinas, C., and Spanos, D. (1996). Hydrodynamic optimization of fast displacement catamarans. In Proceedings of the 21st International Symposium on Naval Hydrodynamics (ONR 96), pages 697–714, Trondheim, Norway. [8] Temarel, P., Bai, W., Bruns, A., Derbanne, Q., Dessi, D., Dhavalikar, S., et al., 2016, Prediction of wave-induced loads on ships: Progress and challenges, Ocean Engineering, Vol. 119, pp. 274-30 [9] Yuming, Liu (2011) Design of ocean systems lecture 7 sea keeping III. www.ocw.mit.edu|course|mechanical-engineering/2-019-design-of-ocean-system-spring-2011/**
Nwaorgu G.O, Ugodo G, "Analysing the Effect of Heave Motion on the Dynamics of a Lifebuoy" International Journal of Latest Technology in Engineering, Management & Applied Science-IJLTEMAS vol.10 issue 10, October 2021, pp.01-04 URL: https://ijltemas.in/DigitalLibrary/Vol.10Issue10/01-04.pdf
Sama-ae [18] characterized local boundedness and boundedness of the superposition operator acting from the Maddox sequence spacel(p) into l1. Sağır & Güngör [14]defined the superposition operator P\_g where g:N²×R→R by P\_g (x)=(g(k,s,xks) )\_(k,s=1)^∞ for all real double sequences (xks ). The main goal of this paper is constructing the necessary and sufficient conditions for the local boundedness and boundedness of the superposition operatorP\_gacting from Maddox double sequence spaces L(p) into L(q) where p=(pks ) and q=(qks ) is bounded double sequences of positive numbers. Keywords: Superposition Operators, Local Boundedness, Boundedness, Double Sequence Spaces
Birsen Sağır
Ondokuz MayısUniversity, Faculty of Sciences And Arts, Department of Mathematics, 55139 Kurupelit Samsun/ Turkey
Nihan Güngör
Gumushane University, Faculty of Engineering and Naturel Sciences, Department of Mathematical Engineering Gumushane/Turkey
**[1] Apostol, T.M., (1974). Mathematical Analysis, Pearson Education Asia Limited and China Machine Press. [2] Başar, F., Sever, Y.,(2009). The Space of Double Sequences, Math. J. Okayama Univ., 51, 149-157. [3] Başar, F., (2012).Summability Theory and Its Applications, Bentham Science Publishers, e-books, Monographs, İstanbul. [4] Chew, T.S., Lee, P.Y., (1985). Orthogonally Additive Functionals on Sequence Spaces, Southeast Asian Bull. Math., 9, 81-85. [5] Dedagich, F., Zabreiko, P.P.,(1987). Operator Superpositions in The Spaces l\_p, Sib. Math. J., 28, 86-98.2 [6] Güngör, N, Sağır B., (2017). Continuity of Superposition Operators on The Double Sequence Spaces of Maddox L(p), Iranian Journal of Science and Technology, Transactions A: Science, 41(2), 451-456. [7] Herawaty, E.,(2013). The Locally Boundedness Criteria for Superposition Operators onl\_Φ (L), Applied Mathematical Sciences, 7, 727 – 733. [8] Kolk, E., Raidjoe, A., (2007). The Continuity of Superposition Operators on Some Sequence Spaces Defined By Moduli, Czech. Math. J., 57, 777-792. [9] Limaye, B.V., Zelstser, M., (2009). On The Pringsheim Convergence of Double Series, Proc. Eston. Aca. Sci., 58 (2), 108-121. [10] Oğur, O., (2017). On characterization of boundedness of superposition operators on the Maddox space C\_r0 (p)of double sequences, New Trends in Mathematical Sciences, 4, 80-88. [11] Petranuarat, S., Kemprasit, Y., (1997). Superposition Operators on l\_p " and " c\_0 " into " l\_q (1≤p,q<∞), Southeast Asian Bull. Math., 21, 139-147. [12] Pluciennik, R. ,(1990). Continuity of Superposition Operators on w₀and W₀, Commentat. Math. Univ. Carol., 31, 529-542. [13] Pringsheim A.,(1900). ZurTheorie de ZweifachUnendlichenZahlenfolgen, Math. Ann., 53, 289-321. [14] Sağır, B., Güngör, N., (2015). Continuity of Superposition Operators on the Double Sequence Spaces L\_p,Filomat, 29( 9), 2107-2118. [15] Sağır, B., Güngör, N., (2015). Locally Boundedness and Continuity of Superposition Operators on The Double Sequence Spaces C\_r0, J Computational Analysis and Applications, 19, 365-377. [16] Sağır B., Güngör N. ,(2015). Continuity of Superposition Operators on The Double Sequence Spaces of Maddox C\_r0 (p), Romanian Journal Of Mathematics and Computer Science, 5,(1), 35-45. [17] Sağır, B., Erdoğan, F. (2019).On Characterization of Non-NewtonianSuperpositionOperators inSomeSequenceSpaces, Filomat, 33(9), 2601–2612, https://doi.org/10.2298/FIL1909601S. [18] Sama-ae, A., (1997). Boundedness of Superposition Operators on The Sequence Spaces of Maddox, Master Thesis, Chiang Mai University. [19] Sama-ae, A., (2002). Boundedness and Continuity of Superposition Operator on E\_r (p)" and " F\_r (p), Songklanakarin J. Sci. Technol., 24, 452-466. [20] Streit, R. F., (1972) The Summation of Convergent Double Series, Texas Tech University. [21] Türkmenoğlu, A., (1993).Bazı ÇiftİndisliDizi Uzayları, PhD Thesis, Fırat University.**
Birsen Sağır, Nihan Güngör, "Boundedness of Superposition Operators on the Double Sequence Spaces of Maddox L(p)" International Journal of Latest Technology in Engineering, Management & Applied Science-IJLTEMAS vol.10 issue 10, October 2021, pp.05-09 URL: https://ijltemas.in/DigitalLibrary/Vol.10Issue10/05-09.pdf
